673,167

3 × 11 × 20399

673,167 factors as 3 × 11 × 20399. Its 8 positive divisors give a proper-divisor sum of 306,033, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3 × 11 × 20399

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 979,200

Proper Divisor Sum 306,033

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #673157 ← → #673193

Radix Representation

Decimal	673167
Binary	10100100010110001111 (20 bits)
Octal	0o2442617
Hexadecimal	0xA458F

Divisor Catalog (8)

1 3 11 33 20,399 61,197 224,389 673,167

Collatz Trajectory (92 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

673,167 2,019,502 1,009,751 3,029,254 1,514,627 4,543,882 2,271,941 6,815,824 3,407,912 1,703,956 851,978 425,989 1,277,968 638,984 319,492 159,746 79,873 239,620 119,810 59,905 179,716 89,858 44,929 134,788 67,394 33,697 101,092 50,546 25,273 75,820 37,910 18,955 56,866 28,433 85,300 42,650 21,325 63,976 31,988 15,994 7,997 23,992 11,996 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712

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